论文信息 - On the Grassmann space representing the lines of an affine space

On the Grassmann space representing the lines of an affine space

In 1982, Bichara and Mazzocca characterized the Grassmann space Gr(1,A) of the lines of an affine space A of dimension at least 3 over a skew-field K by means of the intersection properties of the three disjoint families @S"1,@S"2 and T of maximal singular subspaces of Gr(1,A). In this paper, we deal with the characterization of Gr(1,A) using only the family @[email protected]"[email protected][email protected]"2 of maximal singular subspaces.

Eva Ferrara Dentice | Pia Maria Lo Re | Roberta Di Gennaro

[1] Domenico Olanda,et al. A Characteristic Property of the Grassmann Manifold Representing the Lines of a Projective Space , 1984, Eur. J. Comb..

[2] Giuseppe Tallini. Finite Geometries and Designs: On a characterization of the Grassmann manifold representing the lines in a projective space , 1981 .